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Worksheet: Union of Sets

Q1:

Given that { 6 , 7 } βˆͺ { 1 , 8 } = { 7 , 8 , π‘₯ , 6 } , what is the value of π‘₯ ?

Q2:

Use ∈ or βˆ‰ to fill in the gap: If 𝑋 = { 7 , 2 , 1 , 8 } and π‘Œ = { 4 , 2 , 1 } , then 2 2 𝑋 βˆͺ π‘Œ .

  • A βˆ‰
  • B ∈

Q3:

Given that { 2 , 7 } βˆͺ { 1 , π‘₯ , 6 } = { 6 , 2 , 1 , π‘₯ } , what is the value of π‘₯ ?

Q4:

Find { 5 } βˆͺ { 4 5 } .

  • A { 4 }
  • B { 5 , 4 }
  • C { 5 }
  • D { 5 , 4 5 }
  • E { 5 4 5 }

Q5:

Given that { 9 , 1 4 } βˆͺ { 5 π‘₯ , 5 } = { 9 , π‘₯ , 1 4 , 2 5 } , what is the value of π‘₯ ?

Q6:

Given that { 2 , π‘₯ } βˆͺ { 1 2 , 2 } = { 1 2 , 2 , 1 1 } , what is the value of π‘₯ ?

Q7:

What is { 4 7 } βˆͺ { 7 4 } ?

  • A { 4 , 7 , 4 7 }
  • B { 4 , 7 }
  • C { 4 , 7 , 7 4 }
  • D { 4 7 , 7 4 }
  • E { 4 , 7 , 4 7 , 7 4 }

Q8:

Use ∈ or βˆ‰ to fill in the gap: If 𝑋 = { 6 , 4 , 8 } and π‘Œ = { 8 , 6 , 4 , 5 } , then 1 𝑋 βˆͺ π‘Œ .

  • A βˆ‰
  • B ∈

Q9:

What is { 9 } βˆͺ { 9 } ?

  • A βˆ…
  • B { 9 9 }
  • C { 9 , 9 9 }
  • D { 9 }

Q10:

If 𝑋 = { 5 , 7 , 4 , 3 } and π‘Œ = { 4 , 6 , 8 , 5 , 3 } , what is 𝑋 βˆͺ π‘Œ ?

  • A { 7 , 6 , 8 }
  • B { 5 , 4 , 3 }
  • C { 5 , 7 , 4 , 3 }
  • D { 5 , 7 , 4 , 3 , 6 , 8 }

Q11:

If 𝑋 = { 4 , 0 , 1 } , π‘Œ = { 6 , 7 , 8 } , and 𝑍 = { 5 , 0 , 3 , 2 } , what is ( 𝑋 βˆͺ π‘Œ ) βˆͺ 𝑍 ?

  • A { 0 , 2 , 3 , 5 , 6 , 7 , 8 }
  • B { 0 , 1 , 4 , 6 , 7 , 8 }
  • C { 0 }
  • D { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }

Q12:

Find { 0 , 1 , 6 , 1 0 } βˆͺ { 3 , 7 , 8 } .

  • A { 0 , 1 , 6 , 7 , 8 , 1 0 }
  • B { 0 , 1 , 3 , 6 , 7 , 8 }
  • C { 3 , 8 , 1 6 }
  • D { 0 , 1 , 3 , 6 , 7 , 8 , 1 0 }

Q13:

What is { 3 , 6 , 9 } βˆͺ { 6 , 3 9 } ?

  • A { 3 , 6 , 6 3 }
  • B { 3 , 6 , 9 }
  • C { 3 , 6 , 9 , 3 6 , 6 3 }
  • D { 3 , 6 , 9 , 6 3 }
  • E { 9 }

Q14:

If 𝑋 = { 1 , 4 , 3 } , what is 𝑋 βˆͺ 𝑋 ?

  • A { 3 }
  • B { 1 , 4 }
  • C βˆ…
  • D { 1 , 4 , 3 }

Q15:

Given that { 2 1 } βˆͺ { π‘₯ } = { 2 1 , 1 5 } , what is the value of π‘₯ ?

Q16:

Given that { π‘₯ } βˆͺ { 1 5 } = { 1 5 , 4 3 } , what is the value of π‘₯ ?

Q17:

What is ℝ βˆͺ β„š ?

  • A β„š
  • B β„š β€²
  • C β„€
  • D ℝ

Q18:

Find { 6 , 8 , 1 0 } βˆͺ { 4 , 6 } βˆͺ { 0 , 1 0 } .

  • A { 0 , 4 , 8 , 1 0 }
  • B { 0 , 4 , 6 , 1 0 }
  • C { 6 , 8 , 1 0 }
  • D { 0 , 4 , 6 , 8 , 1 0 }

Q19:

Use βŠ‚ or βŠ„ to fill in the gap: If 𝑋 = { 1 , 2 , 7 , 5 } and π‘Œ = { 7 , 4 , 2 , 8 } , then { 5 , 7 } 𝑋 βˆͺ π‘Œ .

  • A βŠ‚
  • B βŠ„

Q20:

Find the union set of { 6 , 1 , 3 , 5 } and the set of digits in the number 46 786.

  • A { 1 , 3 , 5 , 4 , 7 , 8 }
  • B { 6 }
  • C { 1 , 3 , 5 , 4 , 8 }
  • D { 6 , 1 , 3 , 5 , 4 , 7 , 8 }
  • E { 5 , 8 , 7 , 4 , 9 , 1 , 3 }

Q21:

Given that 𝑋 = { 6 , 5 , 7 } and π‘Œ = { 8 , 5 , 3 , 6 } , find 𝑋 βˆͺ βˆ… .

  • A βˆ…
  • B { 8 , 5 , 3 , 6 }
  • C { 6 , 5 , 7 , 8 , 3 }
  • D { 6 , 5 , 7 }

Q22:

Given that { 9 , π‘₯ } βˆͺ { 3 π‘₯ , π‘₯ + 5 } = { 3 , 9 , 8 } , what is the value of π‘₯ ?

Q23:

Given that { 8 , 1 } βˆͺ { π‘₯ , 2 } = { 8 , 2 , 1 } , what is the value of π‘₯ ?

  • A81
  • B βˆ…
  • C18
  • D 8 or 1

Q24:

Find { 𝑓 , 𝑖 , 𝑧 } βˆͺ { 𝑖 , β„Ž , π‘Ž } .

  • A { 𝑖 }
  • B { 𝑓 , π‘Ž , β„Ž , 𝑧 }
  • C { 𝑖 , 𝑓 , π‘Ž , β„Ž , 𝑑 }
  • D { 𝑖 , 𝑓 , π‘Ž , β„Ž , 𝑧 }

Q25:

Find βˆ… βˆͺ { 0 , 1 , 3 , 4 } .

  • A { 0 }
  • B βˆ…
  • C { 1 3 4 }
  • D { 0 , 1 , 3 , 4 }